Answer:
Slope of AB = 2
Slope of CD = 2
equal slopes means the lines are parallel
Step-by-step explanation:
Use slope formula
m = [tex]\frac{(y_{2} -y_{1} )}{(x_{2} -x_{1} )}[/tex]
line AB = [tex]\frac{(5-1)}{(2-0)}[/tex] = [tex]\frac{4}{2}[/tex] = 2
line CD - [tex]\frac{(15-7)}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2